Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS_{4} black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.

The topologically twisted index for ABJM theory with gauge group U(N ) k × U(N ) −k has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS 4 black holes. We numerically study the index beyond the large-N limit and provide evidence that it contains a subleading logarithmic term of the form −1/2 log N . On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. We give some possible reasons for this apparent discrepancy.

We provide a field theory interpretation of the attractor mechanism for asymptotically AdS 4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.

A bifunctional luminomagnetic ≈30 nm Gd1‐xEuxVO4 nanophosphor is synthesized using a facile sol–gel method. The nanophosphor is observed to produce both paramagnetic behavior and a highly efficient red emission peaking at 618 nm. Probing the luminomagnetic nanophosphor using photoluminescence, time‐resolved spectroscopy, magnetization measurements, and a cytotoxicity assay reveal its suitability for biological applications, in particular, cell labeling and high‐contrast imaging.

Using ζ-function regularization, we study the one-loop effective action of fundamental strings in AdS 5 ×S 5 dual to the latitude 1 4 -BPS Wilson loop in N = 4 Super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic 1 2 -BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.

Abstract:We study the one-loop effective action of certain classical type IIA string configurations in AdS 4 × CP 3 . These configurations are dual to Wilson loops in the N = 6 U(N ) k × U(N ) −k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.

We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS 2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS 2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 1 4-BPS latitude Wilson loop.

The holographic configurations dual to Wilson loops in higher rank\ud
representations in the ABJM theory are described by branes with electric flux\ud
along their world volumes. In particular, D2 and D6 branes with electric flux\ud
play a central role as potential dual to totally symmetric and totally\ud
antisymmetric representations, respectively. We compute the spectra of\ud
excitations of these brane configurations in both, the bosonic and fermionic\ud
sectors. We highlight a number of aspects that distinguish these configurations\ud
from their D3 and D5 cousins including new peculiar mixing terms in the\ud
fluctuations. We neatly organize the spectrum of fluctuations into the\ud
corresponding supermultiplets

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